In this work, the theory of polycomponent dry friction is applied to engineering problems involving the contact interaction of composite shells with rigid support surfaces. Previous articles and reports on these problems have focused on the motion of a solid ball. In order to study the rolling a shell with sliding and rotation, a model of it’s interaction is developed with two parallel plates (rails) is developed Special attention to the friction effects arising due to complex kinematics is given. To determine the coefficients of the models, a method is developed for solving the problem of the motion of a composite spherical transversally isotropic shell on a solid surface, taking into account the friction effects. This proposed implementation allows for a more accurate understanding and analysis of the contact interaction between composite shells and rigid support surfaces in engineering problems. By considering the friction effects and developing a model that accurately represents the motion of the shell, engineers can make more informed decisions and predictions regarding the behavior and performance of these systems.

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